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Article Dans Une Revue Annals of Nuclear Energy Année : 2019

Perturbation and sensitivity calculations for time eigenvalues using the Generalized Iterated Fission Probability

Résumé

Time eigenvalues emerge in several key applications related to neutron transport problems, including reactor start-up and reactivity measurements. In this context, experimental validation and uncertainty quantification would demand to assess the variation of the dominant time eigenvalue in response to a variation of nuclear data. Attention has been recently drawn to the development of theoretical and numerical tools for a first-order Standard Perturbation Theory (SPT) applied to time eigenvalues, which can be thought of as an extension of the well-known SPT formalism for k-eigenvalues. In this work we present a new Monte Carlo method enabling first-order perturbation and sensitivity analysis for time eigenvalues, based on the Generalized Iterated Fission Probability approach that we have recently introduced. The proposed method is detailed and its accuracy is assessed by considering a few relevant verification tests.
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hal-03487336 , version 1 (20-12-2021)

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Paternité - Pas d'utilisation commerciale

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A. Jinaphanh, A. Zoia. Perturbation and sensitivity calculations for time eigenvalues using the Generalized Iterated Fission Probability. Annals of Nuclear Energy, 2019, 133, pp.678 - 687. ⟨10.1016/j.anucene.2019.06.062⟩. ⟨hal-03487336⟩
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